8th Class Mental Ability Mensuration Question Bank Mensuration

  • question_answer
    A hollow garden roller whose external diametre is 42 cm and has a length of 132 cm is made of 2 cm thick cast iron. Find the weight of the roller if \[\mathbf{1}\text{ }\mathbf{c}{{\mathbf{m}}^{\mathbf{3}}}\] of iron weighs 10 gram.

    A) 331.89 kg 

    B)        277.78 kg           

    C)                  279.78 kg            

    D)       278.5 kg              

    E)                None of these  

    Correct Answer: A

    Solution :

    Explanation Option [a] is correct. Volume of iron = \[\pi h\left( {{R}^{2}}-{{r}^{2}} \right)=\pi \times 132\,\left( {{21}^{2}}-{{19}^{2}} \right)=33188.57\,c{{m}^{3}}.\] Therefore, weight of the roller \[=33158.5710=331.89\text{ }kg.\]         


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